Class 10 ap-mixed-equation-hard MCQ Questions

Question 1/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि समान्तर श्रेणी में $a_4=20$ और $a_9+a_{14}=160$ है तो $a_{28}$ क्या होगा?

If in an AP $a_4=20$ and $a_9+a_{14}=160$, what is $a_{28}$?

Explanation opens after your attempt

Correct Answer

B. (176)

Step 1

Concept

(a_9+a_{14}=$a_4+5d$+$a_4+10d$=40+15d=160), so (d=8). $a_{28}=20+24d=212$.

Step 2

Why this answer is correct

The correct answer is B. (176). (a_9+a_{14}=$a_4+5d$+$a_4+10d$=40+15d=160), so (d=8). $a_{28}=20+24d=212$.

Step 3

Exam Tip

(a_9+a_{14}=$a_4+5d$+$a_4+10d$=40+15d=160) इसलिए (d=8)। $a_{28}=20+24d=212$।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 66

Question Hindi:
यदि समान्तर श्रेणी में (a_4=20) और (a_9+a_{14}=160) है तो (a_{28}) क्या होगा?

Question English:
If in an AP (a_4=20) and (a_9+a_{14}=160), what is (a_{28})?

Options:
A. (168)
B. (176)
C. (184)
D. (192)

Correct Answer:
B. (176)

Explanation Hindi:
(a_9+a_{14}=(a_4+5d)+(a_4+10d)=40+15d=160) इसलिए (d=8)। (a_{28}=20+24d=212)।

Explanation English:
(a_9+a_{14}=(a_4+5d)+(a_4+10d)=40+15d=160), so (d=8). (a_{28}=20+24d=212).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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6. 23-30 sec: Show short explanation with one exam tip.
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Question 2/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी में $a_3=14$ और $a_7+a_{11}=100$ है तो $a_{19}$ क्या होगा?

If in an AP $a_3=14$ and $a_7+a_{11}=100$, what is $a_{19}$?

Explanation opens after your attempt

Correct Answer

B. (86)

Step 1

Concept

(a_7+a_{11}=$a_3+4d$+$a_3+8d$=28+12d=100), so (d=6). $a_{19}=14+16d=110$.

Step 2

Why this answer is correct

The correct answer is B. (86). (a_7+a_{11}=$a_3+4d$+$a_3+8d$=28+12d=100), so (d=6). $a_{19}=14+16d=110$.

Step 3

Exam Tip

(a_7+a_{11}=$a_3+4d$+$a_3+8d$=28+12d=100) इसलिए (d=6)। $a_{19}=14+16d=110$।

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AI Video Prompt 16:9 + 9:16

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https://muftshiksha.com/question/if-in-an-ap-a-3-14-and-a-7-a-11-100-what-is-a-19

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 65

Question Hindi:
यदि समान्तर श्रेणी में (a_3=14) और (a_7+a_{11}=100) है तो (a_{19}) क्या होगा?

Question English:
If in an AP (a_3=14) and (a_7+a_{11}=100), what is (a_{19})?

Options:
A. (84)
B. (86)
C. (88)
D. (90)

Correct Answer:
B. (86)

Explanation Hindi:
(a_7+a_{11}=(a_3+4d)+(a_3+8d)=28+12d=100) इसलिए (d=6)। (a_{19}=14+16d=110)।

Explanation English:
(a_7+a_{11}=(a_3+4d)+(a_3+8d)=28+12d=100), so (d=6). (a_{19}=14+16d=110).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
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- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

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Question 3/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि AP में $a_{2}=9$ और $a_{5}+a_{8}=72$ है तो $a_{14}$ क्या होगा?

If in an AP $a_2=9$ and $a_5+a_8=72$, what is $a_{14}$?

Explanation opens after your attempt

Correct Answer

C. (69)

Step 1

Concept

(a_5+a_8=$a_2+3d$+$a_2+6d$=18+9d=72), so (d=6). $a_{14}=9+12d=81$.

Step 2

Why this answer is correct

The correct answer is C. (69). (a_5+a_8=$a_2+3d$+$a_2+6d$=18+9d=72), so (d=6). $a_{14}=9+12d=81$.

Step 3

Exam Tip

(a_5+a_8=$a_2+3d$+$a_2+6d$=18+9d=72) इसलिए (d=6)। $a_{14}=9+12d=81$।

Open Question Page

AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

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- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
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Question Page:
https://muftshiksha.com/question/if-in-an-ap-a-2-9-and-a-5-a-8-72-what-is-a-14

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 64

Question Hindi:
यदि AP में (a_{2}=9) और (a_{5}+a_{8}=72) है तो (a_{14}) क्या होगा?

Question English:
If in an AP (a_2=9) and (a_5+a_8=72), what is (a_{14})?

Options:
A. (61)
B. (65)
C. (69)
D. (73)

Correct Answer:
C. (69)

Explanation Hindi:
(a_5+a_8=(a_2+3d)+(a_2+6d)=18+9d=72) इसलिए (d=6)। (a_{14}=9+12d=81)।

Explanation English:
(a_5+a_8=(a_2+3d)+(a_2+6d)=18+9d=72), so (d=6). (a_{14}=9+12d=81).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

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ap-mixed-equation-hard MCQ Questions for Class 10

Practice Questions

यदि समान्तर श्रेणी में \(a_4=20\) और \(a_9+a_{14}=160\) है तो \(a_{28}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी में \(a_3=14\) और \(a_7+a_{11}=100\) है तो \(a_{19}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP में \(a_{2}=9\) और \(a_{5}+a_{8}=72\) है तो \(a_{14}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

ap-mixed-equation-hard Revision Links

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ap-mixed-equation-hard MCQ Questions for Class 10

Practice Questions

यदि समान्तर श्रेणी में \(a_4=20\) और \(a_9+a_{14}=160\) है तो \(a_{28}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी में \(a_3=14\) और \(a_7+a_{11}=100\) है तो \(a_{19}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP में \(a_{2}=9\) और \(a_{5}+a_{8}=72\) है तो \(a_{14}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

ap-mixed-equation-hard Revision Links

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Search ap-mixed-equation-hard

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